Can someone help me with this?​

Step-by-step explanation:

You could say that the diagonals are congruent.

Answer:

2 result(s) found

t=2

t=

2

11

​

=5.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*t^2-(15*t-22)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

 2t2 -  (15t - 22)  = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2t2-15t+22

The first term is,  2t2  its coefficient is  2 .

The middle term is,  -15t  its coefficient is  -15 .

The last term, "the constant", is  +22

Step-1 : Multiply the coefficient of the first term by the constant   2 • 22 = 44

Step-2 : Find two factors of  44  whose sum equals the coefficient of the middle term, which is   -15 .

     -44    +    -1    =    -45

     -22    +    -2    =    -24

     -11    +    -4    =    -15    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -11  and  -4

                    2t2 - 11t - 4t - 22

Step-4 : Add up the first 2 terms, pulling out like factors :

                   t • (2t-11)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2t-11)

Step-5 : Add up the four terms of step 4 :

                   (t-2)  •  (2t-11)

            Which is the desired factorization

Equation at the end of step

2

:

 (2t - 11) • (t - 2)  = 0

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    2t-11 = 0

Add  11  to both sides of the equation :

                     2t = 11

Divide both sides of the equation by 2:

                    t = 11/2 = 5.500

Solving a Single Variable Equation:

3.3      Solve  :    t-2 = 0

Add  2  to both sides of the equation :

                     t = 2

Supplement : Solving Quadratic Equation Directly

Solving    2t2-15t+22  = 0   directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

4.1      Find the Vertex of   y = 2t2-15t+22

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 2 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,At2+Bt+C,the  t -coordinate of the vertex is given by  -B/(2A) . In our case the  t  coordinate is   3.7500  

Plugging into the parabola formula   3.7500  for  t  we can calculate the  y -coordinate :

 y = 2.0 * 3.75 * 3.75 - 15.0 * 3.75 + 22.0

or   y = -6.125-0

Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]

Answer: 64.0

Step-by-step explanation:

Answer:

Natasha will arrive at 3:23

Step-by-step explanation:

(1/3)*33= 11

3:12+11= 3:23

Answer:

(-4,2)

Step-by-step explanation:

Notice that the xx-coordinate and the yy-coordinatechange sign when HH is reflected over the yy-axis and then reflected over the xx-axis.

Answer:

The correct ans is (4,-2)

Step-by-step explanation:

Answer:

Today: Monday, 12 October 2020

Hour: 09.13 WIB (in Indonesian)

_________________________

5x = -20

x = -20/5

× = -4

Answer:

x = -4

Step-by-step explanation:

5x = -20

x = -20/5

x = -4

I hope this helped!

Answer:

361

Step-by-step explanation:

Multiply length x width to find area. 19 x 19 = 361

Answer:

An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Step-by-step explanation:

Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet

Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way

Hence total length of string will be

Total length = Perimeter of rectangle  +  length of diagonal

Perimeter of rectangle  = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet

Length of diagonal given by Pythagoras theorem

[tex]\mathrm{Length = { \left( { a }^{ 2 } + { b }^{ 2 } \right) }^{ 0.5 } = { \left( { 12 }^{ 2 } + { 7 }^{ 2 } \right) }^{ 0.5 } = 13.89244\:\:feet}[/tex]

Hence

Total length = Perimeter of rectangle  + length of diagonal

Total length = 38 feet + 13.89244 feet = 51.9 feet

Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Answer:

Step-by-step explanation:

(3-7)/(6-5)= -4/1= -4

Answer:  Rank correlation

Step-by-step explanation:

hope it helps

Answer:

the slope is -2

Step-by-step explanation:

if you move the x by 2, you would see a decrease in the y by 4. 2/-4 = -2.

Answer:

h = -1

Step-by-step explanation:

-( 4+h) = 3h

Distribute the minus sign

-4 -h = 3h

Add 4 to each side

-4-h+h = 3h+h

-4 = 4h

Divide each side by 4

-4/4 = 4h/4

-1 = h

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

219.6

Step-by-step explanation:

i used omnicalculator

Answer:

yes

Step-by-step explanation:

For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The demand and supply equations for overhead projectors in a certain market.

In these equations, p represents price, D represents demand, and S represents supply.

[tex]\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131[/tex]

For the equilibrium, the value of supply and the value of demand will be equal. Then we have

[tex]\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer: B. 15

Step-by-step explanation: edge 2022 i got it right

Answer:

1. <R

2. <E

3. <L

4. RE

5. YE

6. 5

10$

Hope this helped!

Answers:

======================================================

Explanation:

We can use the discriminant formula to determine how many (and what type of) roots we have. The term "root" is another word for "solution" or "x intercept". It's the x value that makes y = 0.

Any quadratic is of the form ax^2 + bx + c = 0

The discriminant formula is

d = b^2 - 4ac

which is found underneath the square root in the quadratic formula.

Here are the three possible outcomes

With all that in mind, let's find the discriminant of the first equation on the very left.

First we need to get it into standard form ax^2+bx+c = 0

5x^2 + 2 = 4x

5x^2 - 4x + 2 = 0

We see that

Computing the discriminant gets us...

d = b^2 - 4ac

d = (-4)^2 - 4(5)(2)

d = 16 - 40

d = -24

The actual discriminant value itself doesn't matter. All we care about is whether its positive, zero, or negative.

In this case, we get a negative discriminant. So this equation goes to the "no real solutions" column.

-------------------------

Let's move onto the next quadratic

3x^2 + 24x = -48

3x^2 + 24x + 48 = 0

a = 3, b = 24, c = 48

d = b^2 - 4ac

d = 24^2 - 4(3)(48)

d = 0

The discriminant of zero means this equation goes into the "exactly one real solution" category.

-------------------------

For the next equation, we don't need to use the discriminant formula here.

Notice that the right hand side is negative, but the left side is never negative because 3 is positive and (x+5)^2 is never negative. There is no way to have 3(x+5)^2 be negative if we let x be a real number only.

The equation 3(x+5)^2 = -2 goes into "no real solutions" pile.

-------------------------

For the last equation, we have

a = 4, b = -16, c = 0

So,

d = b^2 - 4ac

d = (-16)^2 - 4(4)(0)

d = 256

The result is a positive number, so we have two different solutions.

The discriminant is a perfect square which means we not only have real number solutions, but those solutions are rational numbers. This only works when a,b,c are rational as well.

Answer: 10 3/8

Step-by-step explanation:

= 50 - 19 3/4 - 19 7/8

= 10 3/8

Answer:

7.5 meters

Step-by-step explanation:

14/2=7 16/2=8 so you go halfway for 15

Divide the total length by 2

Length of ribbon=15m

Half:-

Answer:

10, 15, 21, 28, and 36

Step-by-step explanation:

The rule is the number of line which is n. (n-2)*(n-1) divided by 2

The slope of that line through the origin that divides the region bounded is 1.0315

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

given that,

y = 5x - 3x2

5x - 3x2 = 0

x(5 - 3x) = 0

x = 0 , x = 5/3

Area under y = 5x - 3x2 is A = [0 to 5/3] 5x - 3x2 dx

A = [0 to 5/3] 5x2/2 - 3x3/3

A = [0 to 5/3] 5x2/2 - x3

A = 5(5/3)2/2 - (5/3)3 = 125/54

line passing through origin is in the form of y = mx

==> mx = 5x - 3x2

==> 3x2 + mx - 5x = 0

==> 3x2 + x(m -5) = 0

=> x(3x + (m -5)) = 0

==> x = 0 , x = (5 -m)/3

Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108

==> ?[0 to (5 -m)/3] 5x - 3x2 -mx dx = 125/108

==> ?[0 to (5 -m)/3] (5 - m)x - 3x2 dx = 125/108

==> [0 to (5 -m)/3] (5 - m)x2/2 - x3 = 125/108

==> (5 - m)[(5 -m)/3]2/2 - ((5 -m)/3)3 = 125/108

==> (5 -m)3/18 - (5 -m)3/27 = 125/108

==> (5 -m)3/54 = 125/108

==> (5 -m)3 = 125/2

==> (5 -m) = 3.9685

==> m = 5 - 3.9685

==> m = 1.0315

Hence slope of line = 1.0315

To learn more about slope

brainly.com/question/3605446

#SPJ3

The complete question is given below

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Answer:

The original price of the toaster is 2000

Step-by-step explanation:

Given: Toaster price = 2240

VAT = 12%

VAT amount = ?(I'll include this one)

Assume the original price be x.

Let the original price be x

Then,  x + 12% of x = 2240

x+12/100x x = 2240
100x+12x/ 100= 2240

112x/100=2240

112x = 2240 x 100 ⇒ 224000

x = 224000/112

x = 2000.

So, the original price of toaster = Rs. 2000.

The VAT amount = 2240 - 2000 ⇒ Rs. 240.

The VAT amount is Rs. 240.

Answer:

100 miles per hour

Step-by-step explanation:

Answer:

100 miles in 1 hour

Step-by-step explanation:

all you have to do is divied 400 and 4

Your answer is 252.

I hope this helps.

Answer: i think 300

Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300

Answer:

300 miles in five hours.

Step-by-step explanation:

speed = distance/time

distance = speed*time

240/4=60

d= 60*5

d=300 miles in five hours.

Word explanation:

You can use the formula, speed=distance/time to find the speed which is 60 mph. Now use the formula for distance which is distance= speed*time. The answer would be 300 miles in five hours.